The Department of Mathematics and Computer Science offers a Bachelor of Science degree
in Mathematics with two options: (a) Mathematics (b) Secondary Teaching. Within the
Mathematics option, a student may take an actuarial science concentration. The built-in
flexibility of the Mathematics option will prepare students for careers in banks,
insurance, industry, government, or to pursue advanced degrees in mathematics.

Completion of the Secondary Teaching option in Mathematics qualifies students for
an Initial Type 09 Illinois High School Certificate with a high school endorsement
in mathematics for grades 9–12, and a middle grade endorsement in mathematics for
grades 6–8.

Certification requires the successful completion of the Illinois Certification Tests
of Basic Skills, Mathematics, and Assessment of Professional Teaching (Secondary 6–12).
The secondary teaching program is accredited by the National Council of Teachers of
Mathematics (NCTM), and meets Illinois State Board of Education (ISBE) standards in
mathematics education.

The department offers a minor sequence in mathematics. It will provide students majoring
in other disciplines access to more potent professional tools, and help them to gain
a deeper understanding of their own fields.

All entering freshmen and transfer students are required to take the university placement
examination in mathematics. These students may not register for any mathematics or
computer science course until they have taken the examinations. These examinations
are designed to place students into the appropriate mathematics course from Applied
Intermediate Algebra to Calculus. Students may not use MATH 0880/088, 0900/090, 0950/095,
0980/098, 0990/099, 160 or 161 toward satisfying general education mathematics or
university graduation requirements. Credit will not be given for any mathematics course
which is a prerequisite for a course in which a grade of C or better has already been
earned.

Admission to the program is contingent upon completion of MATH 1210/163 or MATH 1250/171
with a grade of C or higher, cumulative grade point average of 2.0 or higher, and
acceptance by the department.

The department will not accept D grades in any required major courses or required
supportive courses, either as transfer credit or completed at Chicago State University.

Requirements include completion of 120 semester hours of work: 39 hours in general
education; 44 hours in mathematics; 15 hours of supportive courses; 22 hours in electives
selected with the departmental advisor’s approval; and passing the examination on
the state and federal constitutions.

By demonstrating proficiency, a student may be able to obtain credit for certain mathematics
and computer science courses at the recommendation of the department.

Specific Requirements (Mathematics Concentration)

The 9 credit hours in Physical and Life Sciences must be selected from BIOL/CHEM/PHYS/PHSCI
and include at least one laboratory course.

Required Courses (44 credit hours)

MATH 1900/180, 2200/201, 2300/230, 1410/261 or 1415, 1420/262, 2430/263, 2550/271,
4110/342, and 4940/392; one of the following - MATH 4210/327, 4230/308, or 4250/361;
one of the following – MATH 4410/358 or 4450/356; one of the following in applied
mathematics – MATH 3820/325, 4510/354, 4520/355, 4600/315, 4650/318, 4800/350, or
4840/326; two additional courses selected from the above or MATH 2800/283, 3210/329,
3800/313, 4710/345, 4900/370.

Required Supportive Courses (15 credit hours)

Physical and Life Sciences that must be selected from BIOL/CHEM/PHYS/PHSCI: three
additional credit hours; CPTR 1100/141, nine additional credit hours selected from
accounting, biology, botany, chemistry (1550/155 or above); computer science (above
1100/141), economics, mathematics (2810/251 only), physics, zoology. At least two
courses must be from the same discipline.

Physical and Life Sciences that must be selected from BIOL/CHEM/PHYS/PHSCI: three
additional credit hours; complete one of the following two sets of courses: CPTR 1100/141,
ACCT 2110/110 and 2111/111, and FIN 2660/266; or CPTR 1100/141, ACCT 2110/110, FIN
2660/266 and 3680/368. ECON 1010/101 and 1020/102 are strongly recommended to fulfill
the General Education Social Science requirement.

Prerequisites: Completion of mathematics requirements in the student’s major, or consent
of department.

Review of mathematics concepts, skills, and problem solving to prepare the basic skills
mathematics portion of the state teacher certification examination. May be repeated.
Credit may not be used toward graduation.

0920/092 ILLINOIS MATHEMATICS TEACHER CERTIFICATION REVIEW (1)

Co-requisite: MATH 2430/263 and consent of the department.

Review of mathematics concepts and problem solving to prepare for state teacher certification
examination. May be repeated. Credit does not count toward graduation.

Mathematical reasoning and solving real world problems. In depth study of three or
four of the following topics: geometry, counting techniques and probability, graph
theory, logic/set theory, mathematical modeling, game theory, and linear programming.
Graphing calculator required. IAI: M1 904

Develops conceptual understanding for problem solving and decision making; uses analytic
skills including statistical measures, graphs of functions, estimation, and selection
and use of appropriate approaches for formulating and solving real world problems.
Graphing calculator required. May be taken before or after MATH 1700/121. IAI: M1
901

1900/180 INTRODUCTION TO MATHEMATICS PROFESSIONS (1)

Prerequisite: MATH 1210/163

A survey of career opportunities for mathematics professionals in industry, government,
and education. Overview of the skills, training, strategies, and education required
for the various occupations and mathematics curricula. Introduction to the resources
available to aid the mathematics major. May not be used to fulfill general education
requirements.

Prerequisites: MATH 2200/201; BIOL 1070/107 and 1080/108 Introduction to mathematical
software in biological modeling, difference equations in Microsoft Excel, matrix methods,
eigen values, linearization and stability, equilibria. Further topics may include:
phylogenetics, population dynamics, and ecology. Data will be collected in the field.
Term paper required. Credit is not given for both MATH 2810/251 and BIOL 2810/251.

3210/329 MATHEMATICAL LOGIC (3)

Prerequisite: MATH 1410/261 or 1415 and MATH 2300/230 or consent of the department.

A formal study of the propositional calculus and the predicate calculus, including
formal semantics and taxiomatizations. Completeness theorems for both systems will
be proven.

Methods of teaching mathematics in high school grades 9-12 and middle school grades
6-8. Thirty hours of tutoring middle grade and high school grade students. May not
be used toward mathematics requirements for a major or minor in mathematics.

4005/375 STUDENT TEACHING AND SEMINAR-SECONDARY LEVEL/FIELD (6)

Prerequisite: Admission to the College of Education; Completion of all coursework
required in the program with a grade of C or higher; a 2.5 grade point average in
all coursework; a 2.5 grade point average in the area of specialization; consent of
the department; and a passing score on the subject matter/content area certification
test within the last 5 years.

Off-campus placement in secondary schools in two or more grade levels. University
and cooperating school supervision. Five full days including seminar for 16 weeks.
No other courses may be taken during the semester of student teaching. May not be
used to satisfy mathematics requirements for a major or minor in mathematics.

Prime numbers. Euclidean algorithm. Greatest common divisors and least common multiples.
Modular arithmetic. Diophantine equations. Integration of the content in elementary
and middle school. May not be used for graduation credit in Mathematics or Mathematics
Secondary Education options.

Incidence relation, angles, congruence, measurement, compass-and-straightedge constructions,
circles, similarity, right-triangle trigonometry, area, volume, coordinate geometry
in two and three dimensions, polygons, arcs and arc length. Integration of content
in the elementary and middle school. May not be used for graduation credit in Mathematics
or Mathematics Secondary Education options.

An introduction to modern algebra. Topics chosen from: groups, rings, fields and their
applications. May not be used for graduation credit in Mathematics or Mathematics
Secondary Education options.

4070/307 HISTORY OF MATHEMATICS FOR MIDDLE SCHOOL TEACHERS (3)

Prerequisites: MATH 1400/209 and MATH 4050/305 or equivalent.

The historical basis of numeration, operations, geometry, algebra, trigonometry and
calculus. The cultural aspect of mathematics and its contributions to knowledge and
learning. Integration of content in the elementary and middle school. May not be used
for graduation credit in Mathematics or Mathematics Secondary Education options.

4110/342 GEOMETRY (3)

Prerequisite: MATH 1410/261 or 1415 and 2300/230; and one unit of high school plane
geometry (regular or honors) with a grade of C or higher, or MATH 4050/305, or equivalent.

Prerequisite: To be determined by instructor and consent of the department.

Topics of current mathematical interest. May be repeated for credit if different topics
are presented.

4920/381 MATHEMATICS INTERNSHIP (3–6)

Prerequisite: Grade of C or higher in three 3000-level mathematics courses earned
80 semester hours toward a baccalaureate degree, and a major in mathematics; or consent
of the department.

A student project or activity in a mathematics environment outside the department
where the techniques of mathematics are applied in an essential way. Activity to be
performed must be approved in advance by the department. A written final report is
required. Course may be repeated for a total of up to nine semester hours.

Investigation of mathematical models in fields such as natural sciences, social sciences,
business and engineering. Scientific calculators, graphing calculators, and current
computer software will be used. Specific topics will vary. Writing emphasis course.